The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 0 1 1 1 1 2 0 1 1 0 1 2 2 1 2 1 1 2 2 1 1 0 0 1 2 1 1 2 0 1 0 1 0 0 2 1 0 1 1 0 2 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 1 3 0 1 2 1 0 0 1 0 2 1 1 1 1 3 1 1 0 0 0 2 1 2 1 1 1 1 2 3 2 0 1 1 1 3 2 3 2 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 1 1 0 0 0 3 1 1 1 3 1 1 0 2 1 0 1 2 1 2 1 1 1 1 3 1 2 3 1 3 1 3 1 2 1 1 2 3 1 0 3 2 3 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 2 2 generates a code of length 56 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+37x^42+38x^43+141x^44+162x^45+278x^46+284x^47+431x^48+460x^49+606x^50+804x^51+852x^52+1092x^53+1124x^54+1246x^55+1235x^56+1250x^57+1148x^58+1070x^59+901x^60+842x^61+616x^62+536x^63+388x^64+240x^65+218x^66+104x^67+119x^68+48x^69+60x^70+14x^71+25x^72+2x^73+7x^74+2x^76+2x^78+1x^84 The gray image is a code over GF(2) with n=112, k=14 and d=42. This code was found by Heurico 1.16 in 31.2 seconds.